A linear second order, single degree of freedom system has a mass of 8 x 103 kg and a stiffness of 1000 N /m. Calculate the natural frequency of the system. Determine the damping coefficient necessary to just prevent overshoot in response to a step input.

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A: solution of the both part of question solved in below step.

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A: mass (m) = 312 g = 0.312 kg K = 10.2N/mAmplitude (A) = 4 cm = 0.04 m a)Total energy of the system =…

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Q: A 21-cm spring reaches 30.8 cm after a 1/4-kilogram mass is attached to it. The medium through which…

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A: Given values: m=350 kg and X=10 mm,mo=10 kg,k=2500 Nm,ε=0.15 then, ωn =kmωn =2500350ωn =2.673 rads

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A: The equation for damped oscillation be given as,